The number 53804
53804 is a composite number with 6 divisors. Its prime factorisation is × 13451. Divisors (6): 1, 2, 4, 13451, 26902, 53804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53804 is composite. Its prime factorisation is
- 3
The divisors add up to 94164; without 53804 itself that is 40360, so 53804 is deficient (40360 is less than 53804). Euler's totient φ(53804) = 26900 numbers up to 53804 share no factor with it.
- 4
The digits of 53804 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53804 = 2^{2} \times 13451 \]53804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 94164 |
| Euler totient φ(n) | 26900 |
| Square | 2894870416 |
| Cube | 155755607862464 |
| Square root | 231.956893 (= 2√13451) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3804 × |
53804 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and four |
| Binary (base 2) | 1101001000101100 |
| Octal (base 8) | 151054 |
| Hexadecimal (base 16) | D22C |
| Base 3 | 2201210202 |
| As time | 53804 seconds = 14 h 56 min 44 s |
Is 53804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53804 ÷ 2 = 26902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53804 ÷ 4 = 13451) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53804 a prime number?
No. 53804 = × 13451, so it is divisible by 2.
What are the factors of 53804?
1, 2, 4, 13451, 26902, 53804.
What is 53804 in binary?
1101001000101100 (hexadecimal D22C, octal 151054).
What is the square root of 53804?
About 231.9569, exactly 2√13451.
Is 53804 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53804?
It is a composite number with 6 divisors.